SOLUTION: The length of a rectangular garden is 8 feet longer than its width. If the garden's perimeter is 188 feet, what is the area of the garden in square feet? Please note that this

Algebra ->  Rectangles -> SOLUTION: The length of a rectangular garden is 8 feet longer than its width. If the garden's perimeter is 188 feet, what is the area of the garden in square feet? Please note that this       Log On


   

Question 1151543: The length of a rectangular garden is 8 feet longer than its width. If the garden's perimeter is 188 feet, what is the area of the garden in square feet?
Please note that this question asks for area. Find width and length first and then use area formula A=(length)(width)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let the length be L and the width W
if he length of a rectangular garden is 8+feet longer than its width, we have
L=W%2B8ft........eq.1
If the garden's perimeter is 188 feet, we have
2%28L%2BW%29=188ft
L%2BW=94ft.......eq.2
substitute L
W%2B8ft%2BW=94ft
2W=94ft-8ft
2W=86ft
W=43ft
now find L
L=43ft%2B8ft........eq.1
L=51ft
the area of the garden is:
A=L%2AW
A=51ft%2A43ft
A=2193ft%5E2